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13578025496 = 2371013177573
BaseRepresentation
bin11001010010101000…
…00011101000011000
31022001021110011101012
430221110003220120
5210301433303441
610123200113052
7660322212110
oct145124035030
938037404335
1013578025496
115838494582
12276b305788
131385075519
1492b432040
1554707d9eb
hex329503a18

13578025496 has 64 divisors (see below), whose sum is σ = 29480431680. Its totient is φ = 5742604800.

The previous prime is 13578025453. The next prime is 13578025501. The reversal of 13578025496 is 69452087531.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1789166 + ... + 1796738.

It is an arithmetic number, because the mean of its divisors is an integer number (460631745).

It is a 1-persistent number, because it is pandigital, but 2⋅13578025496 = 27156050992 is not.

Almost surely, 213578025496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13578025496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14740215840).

13578025496 is an abundant number, since it is smaller than the sum of its proper divisors (15902406184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13578025496 is a wasteful number, since it uses less digits than its factorization.

13578025496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8004 (or 8000 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 50.

The spelling of 13578025496 in words is "thirteen billion, five hundred seventy-eight million, twenty-five thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 28 56 101 202 317 404 634 707 808 1268 1414 2219 2536 2828 4438 5656 7573 8876 15146 17752 30292 32017 53011 60584 64034 106022 128068 212044 224119 256136 424088 448238 764873 896476 1529746 1792952 2400641 3059492 4801282 5354111 6118984 9602564 10708222 16804487 19205128 21416444 33608974 42832888 67217948 134435896 242464741 484929482 969858964 1697253187 1939717928 3394506374 6789012748 13578025496